Equivariant quantum cohomology for Lagrangian submanifolds

Abstract: Suppose that M is a symplectic manifold equipped with an involution preserving the symplectic structure, and suppose L is a compact Lagrangian submanifold of M preserved by the involution. A central question in symplectic topology concerns the existence of intersections between L and f(L), where f is a Hamiltonian motion (the time 1 map of a Hamiltonian isotopy). We will explore additional rigidity exhibited by Hamiltonian motions which are equivariant with respect to the involution. As an example, we show the product of the n unit circles (in R2n) is not displaceable by a Hamiltonian motion commuting with the antipodal map z→-z.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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